The core research competence of the Professorship of Applied Mechanics – Solid Mechanics (Prof. B. Kiefer, Ph.D.), Institute of Mechanics and Fluid Dynamics (IMFD) at TU Bergakademie Freiberg (TUBAF) lies in establishing novel methods and simulation tools for the modeling of the complex behavior of modern engineering materials and structures as well as their use in technological applications. A central focus is placed on capturing the influence of multiscale, multiphysical, inelastic and failure promoting phenomena. The goal is to develop numerical tools with levels of predictive accuracy, robustness and efficiency that even allow the numerical testing (virtual laboratories, digital twins) of materials and applications not yet in physical existence. In this context, our team contributes to advancing the state of the art in computational mechanics. These approaches comprise classical approaches and methods of AI (machine learning, physics-informed AI) as well as hybrid models. The group has longstanding experience in employing such methods to support technological advancements in the industrial sector, for instance, through joint, federally funded research projects. Examples include helping establish new standards for the fracture mechanical assessment of structural components under the influence of stress multiaxiality,  the prediction of thermomechanical fatigue failure of turbocharger hot parts, and assisting the development of a new generation of high temperature electrolyzers for the production of green hydrogen.